Let P be a point on the circumference of a circle. Perpendiculars $P A$ and $P B$ are drawn on two mutually perpendicular diameters. If $A B = 36$ cm, then length of diameter of the circle is

16

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24

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36

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72

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Solution

The correct option is D $72$ cm
From the figure, PAOB is a rectangle. Diagonals of the rectangle, $P O = A B = 36 c m$
But since, PO is the radius of the circle, radius $= 36 c m$
So, diameter is $72 c m$

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Let P be a point on the circumference of a circle. Perpendiculars PA and PB are drawn on two mutually perpendicular diameters. If AB=36 cm, then length of diameter of the circle is

The correct option is D 72 cmFrom the figure, PAOB is a rectangle. Diagonals of the rectangle, PO=AB=36cmBut since, PO is the radius of the circle, radius =36cm So, diameter is 72cm

Let P be a point on the circumference of a circle. Perpendiculars $P A$ and $P B$ are drawn on two mutually perpendicular diameters. If $A B = 36$ cm, then length of diameter of the circle is

The correct option is D $72$ cm
From the figure, PAOB is a rectangle. Diagonals of the rectangle, $P O = A B = 36 c m$
But since, PO is the radius of the circle, radius $= 36 c m$
So, diameter is $72 c m$